Abstract
In this paper, we present a fractal model for the flow velocity for an Ellis fluid based on the fractal properties of porous media. The proposed expression quantitatively describes the relation between the properties of the Ellis fluid and the parameters of the micro structure of the porous medium. The model prediction is compared with experimental data, and good agreement between them is found. The analytical expression reveals the physical principles for the flow of Ellis fluids and other non-Newtonian fluids in porous media.
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